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An adjunction formula for the Emerton–Jacquet functor

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Abstract

The Emerton–Jacquet functor is a tool for studying locally analytic representations of p-adic Lie groups. It provides a way to access the theory of p-adic automorphic forms. Here we give an adjunction formula for the Emerton–Jacquet functor, relating it directly to locally analytic inductions, under a strict hypothesis that we call non-critical. We also further study the relationship to socles of principal series in the non-critical setting.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Boston University, 111 Cummington Mall, Boston, MA, 02215, USA

    John Bergdall

  2. Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, England

    Przemysław Chojecki

Authors
  1. John Bergdall
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  2. Przemysław Chojecki
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Corresponding author

Correspondence to John Bergdall.

Additional information

The first-named author’s research was partially supported by NSF award DMS-1402005.

The second-named author’s research was partially funded by EPSRC grant EP/L005190/1.

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Bergdall, J., Chojecki, P. An adjunction formula for the Emerton–Jacquet functor. Isr. J. Math. 223, 1–52 (2018). https://doi.org/10.1007/s11856-017-1611-y

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  • DOI: https://doi.org/10.1007/s11856-017-1611-y

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